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LUCKY_DIMON [66]
3 years ago
10

What is the value of x?

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

A. 68°

Step-by-step explanation:

sum of angles inside a triangle = 180°

75 + 37 + x = 180

x = 180 - 75 - 37

= 68°

erastovalidia [21]3 years ago
5 0

Answer:

A

Step-by-step explanation:

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Determine the geometric mean of 45 and 15​
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Please help. Thank you :)
mixer [17]

Okay, first let's look at what they give us!


The measure of angle 2 is 3x + 1


Measure of angle 3 is 2x + 4


And they give us that one angle is right which means it is 90°


Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:


3x + 1 + 2x + 4 + 90 = 180


First we will add together liked terms!


3x + 2x = 5x


1 + 4 + 90 = 95


This gets us:


5x + 95 = 180


Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:


5x = 85


Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:


x = 17


Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!

3(17) + 1


51 + 2 to get us 52!


Answer: 52

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